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23312010022001 is a prime number
BaseRepresentation
bin1010100110011110000000…
…00100111000110001110001
310001112121101001122010210122
411103033000010320301301
511023420444031201001
6121325220051140025
74624144224505631
oct523170004706161
9101477331563718
1023312010022001
117478627a07328
122746034ba4615
13100140bba591c
145a84433626c1
152a65eb338b1b
hex1533c0138c71

23312010022001 has 2 divisors, whose sum is σ = 23312010022002. Its totient is φ = 23312010022000.

The previous prime is 23312010021997. The next prime is 23312010022031. The reversal of 23312010022001 is 10022001021332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14722415520400 + 8589594501601 = 3836980^2 + 2930801^2 .

It is a cyclic number.

It is not a de Polignac number, because 23312010022001 - 22 = 23312010021997 is a prime.

It is a super-2 number, since 2×233120100220012 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23312010022031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11656005011000 + 11656005011001.

It is an arithmetic number, because the mean of its divisors is an integer number (11656005011001).

Almost surely, 223312010022001 is an apocalyptic number.

It is an amenable number.

23312010022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

23312010022001 is an equidigital number, since it uses as much as digits as its factorization.

23312010022001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 23312010022001 its reverse (10022001021332), we get a palindrome (33334011043333).

The spelling of 23312010022001 in words is "twenty-three trillion, three hundred twelve billion, ten million, twenty-two thousand, one".